21132233100032 has 144 divisors (see below), whose sum is σ = 45905559416640. Its totient is φ = 9668374953984.

The previous prime is 21132233100031. The next prime is 21132233100113. The reversal of 21132233100032 is 23000133223112.

It is a junction number, because it is equal to n+sod(n) for n = 21132233099980 and 21132233100007.

It is not an unprimeable number, because it can be changed into a prime (21132233100031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212340908 + ... + 212440404.

It is an arithmetic number, because the mean of its divisors is an integer number (318788607060).

Almost surely, 2^{21132233100032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21132233100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22952779708320).

21132233100032 is an abundant number, since it is smaller than the sum of its proper divisors (24773326316608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21132233100032 is a wasteful number, since it uses less digits than its factorization.

21132233100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100886 (or 100872 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 21132233100032 its reverse (23000133223112), we get a palindrome (44132366323144).

The spelling of 21132233100032 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred thirty-three million, one hundred thousand, thirty-two".